Introduction to Interval Analysis
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Author(s): R. Moore, R. Kearfott and M. Cloud
Publisher: SIAM
ISBN: 9780898716696
Format: softback
223pp
Price: $72.00
Review Date: 12 March 2009
Review: This book is for those who are as yet unfamiliar with methods of computing with intervals of real numbers and what how these methods can be used. With interval computation we can program a computer to find intervals that contain, with absolute certainty, the exact answers to various mathematical problems. Interval algorithms are designed to automatically provide rigorous bounds on accumulated error roundings, approximation errors, and propagated uncertainties in initial data. There are chapters on: The interval number system; First applications of interval arithmetic; Properties of interval arithmetic; Introduction to interval functions; Interval sequences; Interval matrices; Interval Newton methods; Integration of interval functions; Integral and differential equations; and Applications.